1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AnnyKZ [126]
2 years ago
7

A circle passes through the vertices of a square of side 20cm.Find the radius of the circle.

Mathematics
2 answers:
erma4kov [3.2K]2 years ago
8 0

Answer:

14.1cm

Step-by-step explanation:

If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.

We use Pytagoras Theorem to find out the length (L)  of the diagonal given that:

L²  =  (20)²  +  (20)²

L²  = 2* (20)²

L  = √2 * 20

L  = 1,4142* 20

L = 28,28 cm

L diagonal in the square is a diameter of the circle then radius of a circle is:

r = L/2   ⇒   r  = 28,28 /2   ⇒   r = 14,14 cm

algol132 years ago
3 0

Answer:

14,1 cm

Step-by-step explanation:

If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.

We use Pytagoras Theorem to find out the length (L)  of the diagonal given that:

L²  =  (20)²  +  (20)²

L²  = 2* (20)²

L  = √2 * 20

L  = 1,4142* 20

L = 28,28 cm

L diagonal in the square is a diameter of the circle then radius of a circle is:

r = L/2   ⇒   r  = 28,28 /2   ⇒   r = 14,14 cm

You might be interested in
Which number line shows the solution to the inequality?<br> y-2 &lt;-5
spin [16.1K]
I think it would be A.
4 0
3 years ago
PLEASE HELLP ASAP!!! Will Mark Braniliest!!!
Tasya [4]

Answer:

1. 15

2. 17

ur welcome :)000))

4 0
3 years ago
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Determine each segment length in right triangle .
Pani-rosa [81]

The segment length is 14 (square root)2

Given that Triangle ABC is right angle triangle

The vertex marked is B where side AC is the hypotenuse

The side of AC is at Vertex B is 14

The dash segment from vertex B to point D on side AC

Angle BDA is marked right angle .

Angles A and C both marked 45 degrees.

As shown in diagram

Triangle ABC is drawn according to the statement where B is vertex

The side lengths are 14  

Now to find Another side length that is x

So , the equation formed is

x*cos45 = 14

x/√2 = 14

x = 14√2

Hence the length of the segment is 14√2

Learn more about Right angle triangle here brainly.com/question/64787

#SPJ1O

5 0
2 years ago
How many solutions does the following equation have?
RoseWind [281]

Answer:

There will be No solution for the equation 9x - 4 = - 3x + 5 + 12x. Option B is correct.

Step-by-step explanation:

We need to determine how many solutions the equation 9x - 4 = - 3x + 5 + 12x have.

Solving the equation and finding the solutions

9x - 4 = - 3x + 5 + 12x

Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.

9x +3x-12x =  5 + 4

Simplifying

12x-12x =  9\\0=9

Solving the equation we get 0=9 which is false. So, there will be No solution for the equation 9x - 4 = - 3x + 5 + 12x. Option B is correct.

5 0
3 years ago
Solve for x in the diagram below.
marshall27 [118]

Vertical angles are congruent, so:

4x+50=150\\\\4x=100\\\\x=\boxed{25}

4 0
2 years ago
Other questions:
  • What is the intersection of the three sets: A = {1, 3, 5, 7, 9}, B = {1, 2, 3, 5, 7}, and C = {1, 2, 5, 8, 9}?
    5·1 answer
  • Can you please tell me What is 25x4
    7·2 answers
  • Some of the steps in the derivation of the quadratic formula are shown.
    10·2 answers
  • What is the slope of the following equation? 5x - 2y = 13
    7·1 answer
  • If a couple went out to dinner with there four children and the kids meals cost $11.99 each and the adults meal cost 15.99 each
    7·1 answer
  • Given: m∠1 = 140°, find m∠5. <br><br> A) 40° <br> B) 90° <br> C) 130° <br> D) 140°
    11·1 answer
  • Crystal and three friends had lunch at a restaurant.They split the bill equally .The total bill was 75 and they left a 20% tip .
    8·1 answer
  • Wildlife reserve has 7 lion cubs born in the spring and now has 41 total lions. Write an equation to represent the situation.
    8·1 answer
  • Pls help me pls help me pls help me
    5·2 answers
  • West of Checkpoint A, which is at (0,5), are two hurdles that Helena needs to jump over. Hurdle 1 is 4 units west of Checkpoint
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!